Two-dimensional homogeneous cubic systems: classification and normal forms. I

DOI10.3103/S1063454116020023zbMath1383.15009OpenAlexW4234767399MaRDI QIDQ2404766

Yanyan Li

Publication date: 20 September 2017

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454116020023

zbMATH Keywords

canonical formresonant equationshomogeneous cubic systemgeneralized normal formcubic systems of ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Perturbations of ordinary differential equations (34D10) Canonical forms, reductions, classification (15A21)

Related Items (9)

Two-dimensional homogeneous cubic systems: classification and normal forms. III ⋮ Two-dimensional homogeneous cubic systems: classification and normal forms. II ⋮ Two-dimensional homogeneous cubic systems: classification and normal forms. VI ⋮ Analytical integrability problem for perturbations of cubic Kolmogorov systems ⋮ Unnamed Item ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems ⋮ Two-dimensional homogeneous cubic systems: classification and normal forms. IV ⋮ Two-dimensional homogeneous cubic systems: classifications and normal forms. V ⋮ Unnamed Item

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